## A course of practical geometry for mechanics |

### From inside the book

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**Vide Def**. I. Book XI . of Euclid . Surfaces , are the extremities of solids ; lines , the extremi- ties of surfaces ; and points , the extremities of lines . 2 38. The Periphery of a figure , is its circumference , when the figure is ... Page 39

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**vide Def**. 22 , and XXIV . ) PROBLEM XXXVII . An acute - angled isosceles triangle ACB being given , to describe another on the same base , AB , whose vertical angle shall be double the angle C. 1. Bisect the base A B in H , and draw CH ... Page 40

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**Vide Def**. 51 and 52 . EXAMPLES . 1. On a line 2 inches long , make a segment of a circle to contain 45 degrees . 2. On a line 3 inches long , describe the segment of a circle to contain an angle of 110 degrees . PROBLEM XL . From any ... Page 43

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**vide Def**. 35 , ) by dividing 360 ° by the number of sides , the quotient being the angle at the centre . 2. By Prob . XXXVI . describe an isosceles triangle A C B , whose vertical angle shall equal the angle at the centre . From the ... Page 68

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**vide**AO , Prob , XXII . , and page 7 Section of a solid 17 Sector , a diagram , and also an instrument Segment 10 , 11 , 18 , 58 Shading , hints on , and English Ink for Solid ,**definition**, and Genesis of , Sphere , and spherical 11 ...### Other editions - View all

### Common terms and phrases

60 degrees altitude angle equal arc or angle Bisect called centre chords shall form circumference curvilineal cutting A B decagon describe a circle describe a regular describe an arc describe arcs cutting diagonals diameter dodecagon Draw a line Draw chords draw lines Draw the line ellipse equilateral triangle Euclid Euclid's Elements EXAMPLE generatrix geometry given angle given circle given line given point given right line given triangle gonals heptagon inches long inscribe isosceles triangle Join length Let A B line 2 inches line A B line parallel LVIII number of degrees number of equal parallel ruler parallelogram pentagon perpendicular plane point of intersection protractor radii radius ratio rectangle regular nonagon regular polygon rhombus right angles right-angled triangle segment square equal straight line superficies tangent trapezium triangle being given triangle equal triangle required vertex vertical angle Vide Def vide Prob

### Popular passages

Page 8 - A plane rectilineal angle is the inclination of two straight lines to one another, -which meet together, but are not in the same straight line.

Page 10 - A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference.

Page 9 - CHG; and they are adjacent angles; but when a straight line standing on another straight line makes the adjacent angles equal to one another...

Page 9 - A circle is a plane figure contained by one line, which is called the circumference, and is such, that all straight lines drawn from a certain point within the figure to the circumference are equal to one another.

Page 13 - Of four-sided figures, a SQUARE is that which has all its sides equal, and all its angles right angles.

Page 9 - When a straight line standing on another straight line makes the adjacent angles equal to one another, each of the angles is called a right angle; and the straight line which stands on the other is called a perpendicular to it.

Page 14 - Parallel straight lines are such as are in the same plane, and which being produced ever so far both ways, do not meet.

Page 8 - A plane angle is the inclination of two lines to one another* in a plane, which meet together, but are not in the same direction.

Page 13 - A rhomboid, is that which has its opposite sides equal to one another, but all its sides are not equal, nor its angles right angles.

Page 8 - DBC, or CBD ; but, if there be only one angle at a point, it may be expressed by a letter placed at that point ; as the angle at E.